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A Class of Irreducible matrix representations of an Arbitrary Inverse Semigroup

A Class of Irreducible matrix representations of an Arbitrary Inverse Semigroup

By a ā€˜representationā€™ we shall mean throughout a representation by n Ɨ n matrices with entries from an arbitrary field. Elsewhere [9] the author has introduced the concept of a principal representation of a semigroup S (see Ā§ 3 below for the definition) and has shown that if S satisfies ā€¦